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Finding the Fourth Proportional to 3,526.12, 5,289.54 and 929.08

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Solution

The fourth proportional to 3,526.12, 5,289.54 and 929.08 is: 1,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.12 : 5,289.54 = 929.08 : x
  2. Step 2: Convert to fraction form
    3,526.12/5,289.54 = 929.08/x
  3. Step 3: Cross multiply
    3,526.12x = 5,289.54 × 929.08
  4. Step 4: Simplify right side
    3,526.12x = 4,914,405.82
  5. Step 5: Solve for x
    x = 4,914,405.82/3,526.12
  6. Step 6: Final answer
    x = 1,393.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.